Question

Please help me on this problem !

Answer 1

Answer:

8.485

Step-by-step explanation:

This is a right isosceles triangle, thus the angles for side a and b are going to be the same, all the angles must all add up to equal 180, thus 180 - 90 = 90 then 90 ÷ 2 = 45 so we now know that angle a and b are 45°, with that said we can now find out what the vale of x is.
Calculates 2 sides based on 3 given angles and 1 side.

a = c·sin(A)/sin(C) = 8.48528 = 6$\sqrt{2}$

b = c·sin(B)/sin(C) = 8.48528 = 6$\sqrt{2}$

Area = $\frac{ab·sin(C)}{2}$ = 36

Perimeter p = a + b + c = 28.97056

Semiperimeter s = $\frac{a + b +c}{2}$ = 14.48528

Height ha = $\frac{2×Area}{a}$ = 8.48528

Height hb = $\frac{2×Area}{b}$ = 8.48528

Height hc = $\frac{2×Area}{c}$ = 6

Median ma = $\sqrt{(a/2)^{2} + c2 - ac·cos(B)}$ = 9.48683

Median mb = $\sqrt{(b/2)^{2} + a2 - ab·cos(C)}$ = 9.48683

Median mc = $\sqrt{(c/2)^{2} + b2 - bc·cos(A)}$ = 6

Inradius r = $\frac{Area}{s}$ = 2.48528

Circumradius R = $\frac{a}{2sin(A)}$ = 6